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Digital Image Processing Chapter 4

Digital Image Processing Chapter 4. Image Enhancement in the Frequency Domain Part II. 2D-DFT (Frequency) Domain Filtering. Convolution Theorem. f ( x,y ). g ( x,y ). h ( x,y ). input image. impulse response (filter). output image. DFT. IDFT. DFT. IDFT. DFT. IDFT. G ( u,v ). =.

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Digital Image Processing Chapter 4

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  1. Digital Image ProcessingChapter 4 Image Enhancement in the Frequency Domain Part II

  2. 2D-DFT (Frequency) Domain Filtering

  3. Convolution Theorem f (x,y) g(x,y) h(x,y) input image impulse response (filter) output image DFT IDFT DFT IDFT DFT IDFT G(u,v) = F(u,v) H(u,v)

  4. Frequency Domain Filtering Filter design: design H(u,v)

  5. 2D-DFT Domain Filter Design • Ideal lowpass, bandpass and highpass

  6. 2D-DFT Domain Filter Design • Ideal lowpass, bandpass and highpass

  7. 2D-DFT Domain Filter Design Ideal lowpass filtering with cutoff frequencies set at radii values of 5, 15, 30, 80, and 230, respectively

  8. 2D-DFT Domain Filter Design • Gaussian lowpass

  9. 2D-DFT Domain Filter Design Effect of Gaussian lowpass filter

  10. 2D-DFT Domain Filter Design Effect of Gaussian lowpass filter

  11. 2D-DFT Domain Filter Design Effect of Gaussian lowpass filter

  12. 2D-DFT Domain Filter Design Gaussian lowpass filtering Gaussian highpass filtering

  13. 2D-DFT Domain Filter Design • Choices of highpass filters Butterworth Gaussian Ideal

  14. 2D-DFT Domain Filter Design Ideal Butterworth Gaussian Obtained by applying inverse 2D-DFT to the corresponding frequency domain filters

  15. 2D-DFT Domain Filter Design Ideal Butterworth Gaussian

  16. 2D-DFT Domain Filter Design Gaussian filter with different width

  17. 2D-DFT Domain Filter Design • Orientation selective filters

  18. 2D-DFT Domain Filter Design • Narrowband Filtering by combining radial and orientation selection *

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